Understand the concept of a function af7a
AF.7: Investigate functions:
- a. Understand the concept of a function.
- b. Represent, interpret functions graphically, diagrammatically, in words, algebraically (domain, range, notation).
- c. Use graphical methods for approximate solutions of equations, inequalities.
- d. Connect graph shape with the story of a phenomenon, interpret max/min points.
Recall the following definitions:
A relation is a correspondence between 2 sets.
Algebraically, you can think of a relation as a set of ordered pairs (x,y).
Once special type of relation is called a FUNCTION.
Every function is a relation, but not every relation is a function.
A function is a relation for which each and every input gets mapped to ONE and ONLY ONE output.
The following applets help further illustrate this concept for functions represented graphically.